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Finding the Fourth Proportional to 1,568.76, 2,165.90 and 1,274.73

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Solution

The fourth proportional to 1,568.76, 2,165.90 and 1,274.73 is: 1,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.76 : 2,165.90 = 1,274.73 : x
  2. Step 2: Convert to fraction form
    1,568.76/2,165.90 = 1,274.73/x
  3. Step 3: Cross multiply
    1,568.76x = 2,165.90 × 1,274.73
  4. Step 4: Simplify right side
    1,568.76x = 2,760,937.71
  5. Step 5: Solve for x
    x = 2,760,937.71/1,568.76
  6. Step 6: Final answer
    x = 1,759.95

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.